6. Intro to Forces (Dynamics)

In a system where two blocks, $A$ and $B$, are connected by a light, inextensible string over a frictionless pulley, what happens when block $B$ moves downward?

A block of mass $m_a$ is connected by a light string over a frictionless pulley to a block of mass $m_b$ resting on a horizontal surface with coefficient of static friction ${\mu }_s$. What is the maximum mass of block $a$ for which the system remains in static equilibrium?

In a parallel circuit with two resistors of $15$ ohms and $40$ ohms, what is the total resistance of the circuit?

A $3000\mathrm{kg}$ truck is parked on a $7.0°$ slope. What is the magnitude of the friction force acting on the truck?

When using a spanner wrench whose two ends fit loosely into the smooth slots of a bolt head (as shown in Figure 1), which of the following best describes the type of force the wrench applies to the bolt head?

Consider a simple truss consisting of three members forming a right triangle: member AB is horizontal, member AC is vertical, and member BC is the hypotenuse. A load of $1000N$ is applied downward at joint C. The truss is supported at A (pin) and B (roller). Which statement correctly describes the forces in members AB, AC, and BC, and whether each is in tension or compression?

A traffic light weighing $2.00\times 102^1$ N is suspended symmetrically by three cables: two cables make equal angles of $30°$ with the horizontal on either side, and the third cable is vertical. What is the tension in each of the two angled cables?

In a parallel circuit, what happens to the total current supplied by the source when an additional branch is added?

Three masses are connected by massless, rigid rods and placed on a frictionless horizontal surface. If a constant force $F$ is applied to the leftmost mass, what is the acceleration $a$ of the entire system if the total mass is $M$?

When replacing a system of forces and moments acting on a rigid body with an equivalent system at point $O$, what does the equivalent system consist of?

Two blocks of masses $m_1$ and $m_2$ are connected by a massless string and placed on a frictionless horizontal surface. If a constant force $F$ is applied to $m_1$ in the direction of the string, what is the tension $T$ in the string between the blocks?

In a system where two pulleys are connected to reverse the rotation of a motor, which of the following connection methods will achieve this reversal of rotation direction?

A horizontal beam consists of two segments, AB and BC, joined by a pin at point B. If a downward force $F$ is applied at point C and the beam is supported at point A, what is the primary function of the pin connection at B?

Two blocks of masses $m_1$ and $m_2$ are suspended vertically by two ropes, with $m_1$ hanging below $m_2$. The upper rope supports both masses, while the lower rope (with tension $T_2$) connects the two blocks. If the system is at rest, what is the tension $T_2$ in the lower rope?

Two blocks, $m_1$ and $m_2$, are connected by a light cord and placed on a frictionless horizontal surface. A constant horizontal force $F$ is applied to $m_1$. What is the tension $T$ in the cord between the blocks?